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1077213552 = 243531034111
BaseRepresentation
bin100000000110100…
…1111100101110000
32210001222010012020
41000031033211300
54201231313202
6254520231440
735460110202
oct10015174560
92701863166
101077213552
11503071538
1226090b580
1314223318c
14a30ca772
15648845bc
hex4034f970

1077213552 has 80 divisors (see below), whose sum is σ = 2863531008. Its totient is φ = 348791040.

The previous prime is 1077213521. The next prime is 1077213593. The reversal of 1077213552 is 2553127701.

It is a happy number.

It is a super-2 number, since 2×10772135522 = 2320778073224913408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259977 + ... + 264087.

Almost surely, 21077213552 is an apocalyptic number.

1077213552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077213552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431765504).

1077213552 is an abundant number, since it is smaller than the sum of its proper divisors (1786317456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1077213552 is a wasteful number, since it uses less digits than its factorization.

1077213552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 1077213552 is about 32820.9316138345. The cubic root of 1077213552 is about 1025.1024452831.

The spelling of 1077213552 in words is "one billion, seventy-seven million, two hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 103 106 159 206 212 309 318 412 424 618 636 824 848 1236 1272 1648 2472 2544 4111 4944 5459 8222 10918 12333 16377 16444 21836 24666 32754 32888 43672 49332 65508 65776 87344 98664 131016 197328 217883 262032 423433 435766 653649 846866 871532 1270299 1307298 1693732 1743064 2540598 2614596 3387464 3486128 5081196 5229192 6774928 10162392 10458384 20324784 22441949 44883898 67325847 89767796 134651694 179535592 269303388 359071184 538606776 1077213552